{EPITECH} | Second year | Math project
Several months before an important election, many polls seem to pop up from nowhere. Their interpretations are often surrounded by uncertainty: to what extent are these polls reliable? Why are there so many differences between poll institutes? And from day to day? Is a 3% variation significant? etc...
To estimate the accuracy of the results, a confidence interval is given. It is defined by the fact that there is a x% probability that this interval encompasses the true value.
You already know that questioning people follows a Bernoulli process, and therefore that a binomial distribution (converging toward a normal distribution) is a good model for the results. You can then easily compute the confidence intervals, knowing that:
- the 95% confidence interval amplitude is 2 ×1.96√v
- the 99% confidence interval amplitude is 2 ×2.58√v
where v stands for the variance of the sample proportion (corrected for finite populations). The goal of this project is to compute the 95% and 99% confidence intervals.
See the subject for further details !
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Grade : A | Mark : 19
| Category | Percentage | Tests | Crash ? |
|---|---|---|---|
| basic | 100% | 2/2 | x |
| confidence (eval) | 100% | 4/4 | x |
| confidence (intermediate) | 100% | 4/4 | x |
| mathematical rigor | 75% | 3/4 | x |
| rigor | 100% | 9/9 | x |
| End score | 95.7% | 22/23 | No |
Made with Quentin TREHEUX (LuciferBahamut)
Beware of -42 Epitech students !!!